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If log7(343) = x, what is the value of x?
If log7(343) = x, what is the value of x?
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If log7(343) = x, what is the value of x?
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343 = 7^3, so x = 3.
Questions & Step-by-step Solutions
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Q: If log7(343) = x, what is the value of x?
Solution:
343 = 7^3, so x = 3.
Steps: 5
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Step 1: Understand the equation log7(343) = x. This means we are looking for the power (x) to which 7 must be raised to get 343.
Step 2: Rewrite 343 as a power of 7. We know that 7 multiplied by itself 3 times equals 343, which can be written as 7^3.
Step 3: Now we can replace 343 in the original equation with 7^3. So, we have log7(7^3) = x.
Step 4: Use the property of logarithms that states logb(b^y) = y. Here, b is 7 and y is 3.
Step 5: Therefore, log7(7^3) simplifies to 3. So, x = 3.
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